Question

One leg of a right triangle is 8 inches less than the hypotenuse. The other leg is 12 inches. Find the length of hypotenuse.

Answer 1

13 in

Explanation:

Let the hypotenuse be x. Then, by the Pythagorean theorem,

`(x-8)^2 + 12^2=x^2 \\ \\ x^2-16x+64+144=x^2 \\ \\ 16x=64+144 \\ \\ x=4+9 \\ \\ x=13`